A milkman buys pure milk at ₹56 per litre. He adds water and sells the mixture at ₹60 per litre, making a profit of 25%. In what ratio (water : milk) is the mixture?

1 : 7

Correct answerYour answer

11 : 45

Correct answerYour answer

1 : 6

Correct answerYour answer

1 : 4

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Cost price of the mixture = $\frac{60}{1.25} = 48$ rupees per litre.
Water costs ₹0. Water : milk = $(56 - 48) : (48 - 0) = 8 : 48$ .
= $1 : 6$ .

Worth noting

$1 : 4$ wrongly says 25% of the mixture's volume is water. $11 : 45$ comes from taking cost as 75% of the selling price (₹45) instead of dividing by 1.25. $1 : 7$ compares the ₹8 gap with ₹56 instead of ₹48.

Concept: Recovering the cost price of a mixture, then alligation with water
Typical timeTypical: 100 s
Your timeYours: —

The rule this testsThe alligation rule

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Ten questions from Mixtures & Alligation, at your own pace.

A milkman buys pure milk at ₹56 per litre. He adds water and sells the mixture at ₹60 per litre, making a profit of 25%. In what ratio (water : milk) is the mixture?

Explanation